• Title/Summary/Keyword: 다변량 함수 분산분석

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Application of functional ANOVA and functional MANOVA (단변량 및 다변량 함수 데이터에 대한 분산분석의 활용)

  • Kim, Mijeong
    • The Korean Journal of Applied Statistics
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    • v.35 no.5
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    • pp.579-591
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    • 2022
  • Functional data is collected in various fields. It is often necessary to test whether there are differences among groups of functional data. In this case, it is not appropriate to explain using the point-wise ANOVA method, and we should present not the point-wise result but the integrated result. Various studies on functional data analysis of variance have been proposed, and recently implemented those methods in the package fdANOVA of R. In this paper, I first explain ANOVA and multivariate ANOVA, then I will introduce various methods of analysis of variance for univariate and multivariate functional data recently proposed. I also describe how to use the R package fdANOVA. This package is used to test equality of weekly temperatures in Seoul and Busan through univariate functional data ANOVA, and to test equality of multivariate functional data corresponding to handwritten images using multivariate function data ANOVA.

Dynamic Linkages : Stock Markets, Construction Industries, and Construction Firms (한국 건설주가의 동태적 국내외 연계성에 관한 실증분석)

  • You, Tae-Woo;Jang, Won-Ki
    • The Korean Journal of Financial Management
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    • v.20 no.1
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    • pp.125-162
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    • 2003
  • This paper investigates the short- and long- run relationship among Korean, U.S. and Japanese construction indices. We conducted the Johansen's cointegration tests on the hypotheses that the construction indices of three countries we related in the long-run as well as in the short-run. The test results show that there exists no long-run relationship among three countrie's construction indices. In addition, the cointegrating relation did not exist for three countrie's stock market indices and five major Korean construction firms. It fumed out that the U.S. indices Granger-causes Japanese and Korean indices. This finding implies that there may exist international diversification benefit through forming a portfolio from these indices.

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The Dynamics of Intraday Price Transmission Across the Stock Index Futures Markets: The Standard & Poor's 500, the New York Stock Exchange Composite, and the Major Market Index Futures (주가지수선물시장 상호간의 가격정보 전달구조에 관한 연구)

  • Kim, Min-Ho
    • The Korean Journal of Financial Management
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    • v.12 no.2
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    • pp.239-271
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    • 1995
  • 본 연구는 현재 미국에서 거래되고 있는 세 가지 주가지수선물 상호간의 일중(intradaily) 가격선도(price leadership) 관계에 관한 실증분석이다. 본 연구가 기존의 연구와 다른점은, 기존의 연구가 주가지수선물과 그 기준이 되는 현물 가격사이의 가격 선도 관계에 초점을 두고 있는데 반하여 본 연구는 주가지수선물 시장 사이에서 존재하는 가격 선도관계를 분석하고 있다는 점이다. 실증 분석의 대상이 된 주가지수선물들은 Chicago Mercantile Exchange의 Standard and Poor's 500 Index(S&P 500), New York Futures Exchange의 New York Stock Exchange Composit Index (NYSE), 그리고 Chicago Board of Trade의 Major Market Index(MMI)이다. 만약 이들 시장들이 정보의 전달에 있어서 효율적(informationally efficient) 이라면 이들 가격간에 선도-지연(lead-lag) 현상은 존재하지 않을 것이다. 그러나 어느 한 시장이 새로운 정보를 선물가격에 반영하는데 다른 시장에 비해 상대적으로 느리다면, 이들 시장 상호간에는 가격의 전이(transmission)현상이 존재하게 될 것이다. 이들 선물간의 일중 가격선도 관계 연구는 이러한 시장의 효율성 문제를 밝히는데 의의가 있을 뿐만 아니라, 시장간의 단기적 가격 괴리를 이용하려는 차익거래자들에게도 유용하게 쓰일 수 있을 것이다. 본 연구는 위에서 언급한 각각의 주가지수선물들이 가격 선도성을 가질 수 있는 이유와 관련된 다음과 같은 세 가지 가설을 설정하였다. 첫째 가설은, 가격의 선도성은 거래량과 관련이 있다는 것이다. 즉, 이들 주가지수선물 중 가장 거래량이 많은 S&P 500 선물이 다른 선물을 선도할 것이라는 가설이다. 둘째, 가격의 선도성은 주가지수를 구성하는 주식의 수에 비례한다는 가설이다. 다시 말하면, 보다 않은 수로 구성된 주가지수일수록 정보처리 속도가 빠르다는 가설이다. 따라서, 본 연구에 포함된 주가지수선물 중 가장 많은 수의 주식을 대상으로 하는 NYSE 선물이 다른 선물을 선도할 것이다. 마지막 가설은 정보의 처리는 대형주 혹은 기관선호주(institutionally-favored)들이 주도한다는 것이다. 따라서, 주로 이와 같은 주식들로 구성 된 MMI 선물이 선도성을 가질 수 있다는 것이다. 위의 가설들을 검증하고 시장간의 가격 선도관계를 분석하기 위하여 본 연구는 vector autoregressive(VAR) 모형을 이용하여 충격-반응 함수(impulse response functions)를 계산하고, 분산분해(variance decomposition)를 수행하였다. 또한 가격 상호간에 존재할지도 모르는 공적분(cointegration)관계를 Johansen(1991)과 Jokansen and Juselius (1992) 등이 제시한 다변량 공적분 검정(multivariate cointegration test)를 통하여 분석하였다. 분석기간은 1986년 1월부터 1990년 7월까지이며, 각 주가지수선물들의 5분 간격 data를 사용하였다. 연구결과, 충격-반응 분석은 어느 한 시장에서의 충격(shock)은 다른 시장으로 매우 빠르게 전달되고 있음을 보여 주었다. 그러나 충격의 지속정도는 그 충격의 진원지에 따라 달랐다. 즉, NYSE나 MMI 선물로부터 발생 한 충격은 다른 시장의 가격에 5분 안에 반영을 끝냈지 만 S&P 500 선물에서 발생한shock은 그 이상 지속되었다. 또한, 분산분해 결과 S&P 500 선물이 자기자신 뿐만 아니라 다른 시장의 예상하지 못했던 움직임(unexpected movements)을 설명하는데 가장 큰 설명력(explanatory power)을 가지고 있었다. 결론적으로 S&P 500 선물이 다른 선물을 약 5분 간격으로 선도하였다. 이는 가격의 선도가 거래량과 밀접한 관계가 있음을 보여 주는 것이다.

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Analysis of the Levy Mutation Operations in the Evolutionary prograamming using Mean Square Displacement and distinctness (평균변화율 및 유일성을 통한 진화 프로그래밍에서 레비 돌연변이 연산 분석)

  • Lee, Chang-Yong
    • Journal of KIISE:Software and Applications
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    • v.28 no.11
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    • pp.833-841
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    • 2001
  • Abstract In this work, we analyze the Levy mutation operations based on the Levy probability distribution in the evolutionary programming via the mean square displacement and the distinctness. The Levy probability distribution is characterized by an infinite second moment and has been widely studied in conjunction with the fractals. The Levy mutation operators not only generate small varied offspring, but are more likely to generate large varied offspring than the conventional mutation operators. Based on this fact, we prove mathematically, via the mean square displacement and the distinctness, that the Levy mutation operations can explore and exploit a search space more effectively. As a result, one can get better performance with the Levy mutation than the conventional Gaussian mutation for the multi-valued functional optimization problems.

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Direct Determination of Soil Nitrate Using Diffuse Reflectance Fourier Transform Spectroscopy (DRIFTS) (중적외선 분광학을 이용한 토양 내의 질산태 질소 정량분석)

  • Choe, Eunyoung;Kim, Kyoung-Woong;Hong, Suk Young;Kim, Ju-Yong
    • Korean Journal of Soil Science and Fertilizer
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    • v.41 no.4
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    • pp.267-272
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    • 2008
  • Mid-infrared (MIR) spectroscopy, particularly Fourier transform infrared spectroscopy (FTIR), has emerged as an important analytical tool in quantification as well as identification of multi-atomic inorganic ions such as nitrate. In the present study, the possibility of quantifying soil nitrate via diffuse reflectance infrared Fourier transform spectroscopy (DRIFTS) without change of a sample phase or with least treated samples was examined. Four types of soils were spectrally characterized in terms of unique bands of soil contents and interferences with nitrate bands in the range of $2000-1000cm^{-1}$. In order to reduce the effects of soil composition on calibration model for nitrate, spectra transformed to the 1st order derivatives were used in the partial least squared regression (PLSR) model and the classification procedure associated with input soil types was involved in calibration system. PLSR calibration models for each soil type provided better performance results ($R^2$>0.95, RPD>6.0) than the model considering just one type of soil as a standard.

A STUDY ON THE RACIAL CLASSIFICATION OF ASIAN CHUM, ONCORHYNCHUS KETA(WALBAUM) BASED ON SCALE CHARACTERISTICS (인상(鱗相)에 의한 아시아계 백연어, Oncorhynchus keta(Walbaum)의 계통판정에 관한 연구)

  • KANG Yong Joo
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.7 no.2
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    • pp.91-97
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    • 1974
  • Two scale characters, the width ana circuli counts of the first-year band, were used in a discriminant function analysis to see how effectively the two scale characters would separate geographical chum stocks from the western North Pacific. A total of 476 scale samples were taken from spawning adults which ascended to rivers of Hokkaido, Japan, in 1956, and Kamchatka, the U.S.S.R., in 1957. The scale characters were examined for conformity to the statistical requirements of a discriminant function. As a result of the examinations the two characters were verified to be able to be used in a discriminant function analysis that would classify chum taken on the high seas to most Probable origin. A discriminant function computed using the two characters correctly classified 78.5 percent of the Hokkaido and Kamchatka chum fish. Of the two characters the number of the circuli could alone classify fish to its origin with nearly the same probability of correct classification as the discriminant function based on the two characters can.

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Influences of Father's Involvement in Parenting on Child's Problematic Behaviors and Mother's Psychological Well-being: Focused on Latent Classes Growth Analysis (아버지 양육참여 변화 유형에 따른 자녀의 문제행동 및 어머니의 심리적 특성 차이 비교: 잠재계층성장모형 적용을 중심으로)

  • Yeon, Eun Mo;Choi, Hyo-Sik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.1
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    • pp.468-476
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    • 2020
  • This study investigated how latent groups depend on the longitudinal trajectories observed in fathers' involvement in parenting over a five year period, and the study also determined differences in children's behavioral problems and mother's parenting stress, marital satisfaction, and depression among these groups. By utilizing 1,316 sets of data from 1st to 5th Panel Survey of PSKC beginning in 2008, we examined the patterns of the latent groups and the differences among them. The results showed that, first, a changing pattern of fathers' involvement in parenting is classified into four groups: a low-stable group, a decreasing group. a middle-high changeable group, and a highest changeable group. According to the results of the latent groups, the fathers' involvement in parenting commonly started to decrease at the children's age of 4 years old. Second, problematic behaviors of children appeared more from the fathers in the decreasing group. Third, parenting stress, marital conflict, and depression were more often found in the low-stable group that in the decreasing group. the middle-high changeable group and the highest changeable group (in that order), while marital satisfaction showed a completely opposite pattern. Based on these results, political intervention and the future direction of research for fathers' involvement in parenting are needed in order to increase better behaviors of their children as well as the psychological well-being of their mothers.